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9. Lur’e Type Systems

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Part of the book series: Lecture Notes in Control and Information Science ((LNCIS,volume 314))

Abstract

In the present chapter we investigate the asymptotic stability of the system

\(\displaystyle \ddot w + B \dot w(t) + Cw(t) = F (w,t) (t>0), \quad\quad (1.1) \)

where B and C are real constant n× n-matrices (n>1); F(h,t) continuously maps C\(^n \times [0,\infty)\) into Cn.

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Gil’, M.I. 9. Lur’e Type Systems. In: Explicit Stability Conditions for Continuous Systems. Lecture Notes in Control and Information Science, vol 314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11311959_10

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  • DOI: https://doi.org/10.1007/11311959_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23984-0

  • Online ISBN: 978-3-540-31637-4

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